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172028688 = 24313377451
BaseRepresentation
bin10100100000011…
…11001100010000
3102222200221222220
422100033030100
5323014404223
625023101040
74156135236
oct1220171420
9388627886
10172028688
1189118777
1249741780
1329842830
1418bc0956
15101816e3
hexa40f310

172028688 has 80 divisors (see below), whose sum is σ = 491593536. Its totient is φ = 51494400.

The previous prime is 172028683. The next prime is 172028699. The reversal of 172028688 is 886820271.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (172028683) 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, 19363 + ... + 26813.

Almost surely, 2172028688 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 172028688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245796768).

172028688 is an abundant number, since it is smaller than the sum of its proper divisors (319564848).

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

172028688 is a wasteful number, since it uses less digits than its factorization.

172028688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7512 (or 7506 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 172028688 is about 13115.9707227487. The cubic root of 172028688 is about 556.1606940244.

The spelling of 172028688 in words is "one hundred seventy-two million, twenty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1776 1924 2886 3848 5772 7451 7696 11544 14902 22353 23088 29804 44706 59608 89412 96863 119216 178824 193726 275687 290589 357648 387452 551374 581178 774904 827061 1102748 1162356 1549808 1654122 2205496 2324712 3308244 3583931 4410992 4649424 6616488 7167862 10751793 13232976 14335724 21503586 28671448 43007172 57342896 86014344 172028688