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88040628 = 22331373859
BaseRepresentation
bin1010011111101…
…10010010110100
320010122221001000
411033312102310
5140014300003
612423003300
72116222134
oct517662264
9203587030
1088040628
1145773255
1225599530
1315317160
14b99aac4
157ae11a3
hex53f64b4

88040628 has 96 divisors (see below), whose sum is σ = 249468800. Its totient is φ = 26687232.

The previous prime is 88040627. The next prime is 88040633. The reversal of 88040628 is 82604088.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88040592 and 88040601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88040627) 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, 102063 + ... + 102921.

Almost surely, 288040628 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 88040628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124734400).

88040628 is an abundant number, since it is smaller than the sum of its proper divisors (161428172).

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

88040628 is a wasteful number, since it uses less digits than its factorization.

88040628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 88040628 is about 9382.9967494399. The cubic root of 88040628 is about 444.8644589938.

The spelling of 88040628 in words is "eighty-eight million, forty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 73 78 108 117 146 156 219 234 292 351 438 468 657 702 859 876 949 1314 1404 1718 1898 1971 2577 2628 2847 3436 3796 3942 5154 5694 7731 7884 8541 10308 11167 11388 15462 17082 22334 23193 25623 30924 33501 34164 44668 46386 51246 62707 67002 92772 100503 102492 125414 134004 188121 201006 250828 301509 376242 402012 564363 603018 752484 815191 1128726 1206036 1630382 1693089 2257452 2445573 3260764 3386178 4891146 6772356 7336719 9782292 14673438 22010157 29346876 44020314 88040628