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4609136952 = 233375215851
BaseRepresentation
bin1000100101011100…
…11101100100111000
3102220012220102021000
410102232131210320
533414414340302
62041205445000
7222135006030
oct42256354470
912805812230
104609136952
111a558128a2
12a87710760
13585b99094
1431a1d88c0
151be99a31c
hex112b9d938

4609136952 has 128 divisors (see below), whose sum is σ = 14662771200. Its totient is φ = 1314144000.

The previous prime is 4609136929. The next prime is 4609136971. The reversal of 4609136952 is 2596319064.

4609136952 is a `hidden beast` number, since 4 + 609 + 1 + 36 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4609136898 and 4609136907.

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, 784827 + ... + 790677.

It is an arithmetic number, because the mean of its divisors is an integer number (114552900).

Almost surely, 24609136952 is an apocalyptic number.

4609136952 is a gapful number since it is divisible by the number (42) 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 4609136952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7331385600).

4609136952 is an abundant number, since it is smaller than the sum of its proper divisors (10053634248).

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

4609136952 is a wasteful number, since it uses less digits than its factorization.

4609136952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6394 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 4609136952 is about 67890.6249197929. The cubic root of 4609136952 is about 1664.2039080355.

The spelling of 4609136952 in words is "four billion, six hundred nine million, one hundred thirty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 521 756 1042 1512 1563 2084 3126 3647 4168 4689 5851 6252 7294 9378 10941 11702 12504 14067 14588 17553 18756 21882 23404 28134 29176 32823 35106 37512 40957 43764 46808 52659 56268 65646 70212 81914 87528 98469 105318 112536 122871 131292 140424 157977 163828 196938 210636 245742 262584 315954 327656 368613 393876 421272 491484 631908 737226 787752 982968 1105839 1263816 1474452 2211678 2948904 3048371 4423356 6096742 8846712 9145113 12193484 18290226 21338597 24386968 27435339 36580452 42677194 54870678 64015791 73160904 82306017 85354388 109741356 128031582 164612034 170708776 192047373 219482712 256063164 329224068 384094746 512126328 576142119 658448136 768189492 1152284238 1536378984 2304568476 4609136952