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42286448952 = 23331173243799
BaseRepresentation
bin100111011000011110…
…000000000100111000
311001011000102011211000
4213120132000010320
51143100312331302
631232013205000
73024616612506
oct473036000470
9131130364730
1042286448952
1116a2a663a80
128241790760
133cab991737
14209210d676
1511775cd31c
hex9d8780138

42286448952 has 128 divisors (see below), whose sum is σ = 129896640000. Its totient is φ = 12638488320.

The previous prime is 42286448933. The next prime is 42286448959. The reversal of 42286448952 is 25984468224.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42286448959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51549 + ... + 295347.

It is an arithmetic number, because the mean of its divisors is an integer number (1014817500).

Almost surely, 242286448952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42286448952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64948320000).

42286448952 is an abundant number, since it is smaller than the sum of its proper divisors (87610191048).

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

42286448952 is a wasteful number, since it uses less digits than its factorization.

42286448952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243898 (or 243888 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 42286448952 in words is "forty-two billion, two hundred eighty-six million, four hundred forty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 73 88 99 108 132 146 198 216 219 264 292 297 396 438 584 594 657 792 803 876 1188 1314 1606 1752 1971 2376 2409 2628 3212 3942 4818 5256 6424 7227 7884 9636 14454 15768 19272 21681 28908 43362 57816 86724 173448 243799 487598 731397 975196 1462794 1950392 2194191 2681789 2925588 4388382 5363578 5851176 6582573 8045367 8776764 10727156 13165146 16090734 17553528 17797327 21454312 24136101 26330292 32181468 35594654 48272202 52660584 53391981 64362936 71189308 72408303 96544404 106783962 142378616 144816606 160175943 193088808 195770597 213567924 289633212 320351886 391541194 427135848 480527829 579266424 587311791 640703772 783082388 961055658 1174623582 1281407544 1566164776 1761935373 1922111316 2349247164 3523870746 3844222632 4698494328 5285806119 7047741492 10571612238 14095482984 21143224476 42286448952