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88678752 = 2532953601
BaseRepresentation
bin1010100100100…
…10000101100000
320011212100101020
411102102011200
5140200210002
612444405440
72124520431
oct522220540
9204770336
1088678752
1146069728
1225846880
13154ab746
14bac5488
157bba2bc
hex5492160

88678752 has 96 divisors (see below), whose sum is σ = 245760480. Its totient is φ = 27955200.

The previous prime is 88678741. The next prime is 88678753. The reversal of 88678752 is 25787688.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 88678695 and 88678704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88678753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147252 + ... + 147852.

It is an arithmetic number, because the mean of its divisors is an integer number (2560005).

Almost surely, 288678752 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 88678752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122880240).

88678752 is an abundant number, since it is smaller than the sum of its proper divisors (157081728).

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

88678752 is a wasteful number, since it uses less digits than its factorization.

88678752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 688 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 51.

The square root of 88678752 is about 9416.9396302621. The cubic root of 88678752 is about 445.9366745003.

The spelling of 88678752 in words is "eighty-eight million, six hundred seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 53 58 87 96 106 116 159 174 212 232 318 348 424 464 601 636 696 848 928 1202 1272 1392 1537 1696 1803 2404 2544 2784 3074 3606 4611 4808 5088 6148 7212 9222 9616 12296 14424 17429 18444 19232 24592 28848 31853 34858 36888 49184 52287 57696 63706 69716 73776 95559 104574 127412 139432 147552 191118 209148 254824 278864 382236 418296 509648 557728 764472 836592 923737 1019296 1528944 1673184 1847474 2771211 3057888 3694948 5542422 7389896 11084844 14779792 22169688 29559584 44339376 88678752