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42036487248 = 24371719737357
BaseRepresentation
bin100111001001100100…
…011110010001010000
311000111121001210211010
4213021210132101100
51142042320042443
631151123450520
73015463150260
oct471144362120
9130447053733
1042036487248
1116911557058
128191b26a40
133c6bc635c2
14206ac437a0
1511606a5733
hex9c991e450

42036487248 has 160 divisors (see below), whose sum is σ = 132078760704. Its totient is φ = 11246247936.

The previous prime is 42036487223. The next prime is 42036487279. The reversal of 42036487248 is 84278463024.

It is a super-2 number, since 2×420364872482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 42036487197 and 42036487206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106586 + ... + 1143942.

Almost surely, 242036487248 is an apocalyptic number.

42036487248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42036487248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66039380352).

42036487248 is an abundant number, since it is smaller than the sum of its proper divisors (90042273456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42036487248 is a wasteful number, since it uses less digits than its factorization.

42036487248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37589 (or 37583 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 42036487248 in words is "forty-two billion, thirty-six million, four hundred eighty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 197 204 238 272 336 357 394 408 476 591 714 788 816 952 1182 1379 1428 1576 1904 2364 2758 2856 3152 3349 4137 4728 5516 5712 6698 8274 9456 10047 11032 13396 16548 20094 22064 23443 26792 33096 37357 40188 46886 53584 66192 70329 74714 80376 93772 112071 140658 149428 160752 187544 224142 261499 281316 298856 375088 448284 522998 562632 597712 635069 784497 896568 1045996 1125264 1270138 1568994 1793136 1905207 2091992 2540276 3137988 3810414 4183984 4445483 5080552 6275976 7359329 7620828 8890966 10161104 12551952 13336449 14718658 15241656 17781932 22077987 26672898 29437316 30483312 35563864 44155974 51515303 53345796 58874632 71127728 88311948 103030606 106691592 117749264 125108593 154545909 176623896 206061212 213383184 250217186 309091818 353247792 375325779 412122424 500434372 618183636 750651558 824244848 875760151 1000868744 1236367272 1501303116 1751520302 2001737488 2472734544 2627280453 3002606232 3503040604 5254560906 6005212464 7006081208 10509121812 14012162416 21018243624 42036487248