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872028432 = 2432113714879
BaseRepresentation
bin110011111110100…
…001100100010000
32020202212122010100
4303332201210100
53241214402212
6222310332400
730416055642
oct6376414420
92222778110
10872028432
11408267960
1220405a100
1310b881a72
1483b58892
1551853bdc
hex33fa1910

872028432 has 120 divisors (see below), whose sum is σ = 2734467840. Its totient is φ = 257091840.

The previous prime is 872028431. The next prime is 872028523. The reversal of 872028432 is 234820278.

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

It is not an unprimeable number, because it can be changed into a prime (872028431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51169 + ... + 66047.

It is an arithmetic number, because the mean of its divisors is an integer number (22787232).

Almost surely, 2872028432 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 872028432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367233920).

872028432 is an abundant number, since it is smaller than the sum of its proper divisors (1862439408).

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

872028432 is a wasteful number, since it uses less digits than its factorization.

872028432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14941 (or 14932 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 872028432 is about 29530.1275310487. The cubic root of 872028432 is about 955.3816195479.

The spelling of 872028432 in words is "eight hundred seventy-two million, twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 66 72 74 88 99 111 132 144 148 176 198 222 264 296 333 396 407 444 528 592 666 792 814 888 1221 1332 1584 1628 1776 2442 2664 3256 3663 4884 5328 6512 7326 9768 14652 14879 19536 29304 29758 44637 58608 59516 89274 119032 133911 163669 178548 238064 267822 327338 357096 491007 535644 550523 654676 714192 982014 1071288 1101046 1309352 1473021 1651569 1964028 2142576 2202092 2618704 2946042 3303138 3928056 4404184 4954707 5892084 6055753 6606276 7856112 8808368 9909414 11784168 12111506 13212552 18167259 19818828 23568336 24223012 26425104 36334518 39637656 48446024 54501777 72669036 79275312 96892048 109003554 145338072 218007108 290676144 436014216 872028432