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172372992 = 2103115101
BaseRepresentation
bin10100100011000…
…11010000000000
3110000100110021220
422101203100000
5323111413432
625034315040
74162101111
oct1221432000
9400313256
10172372992
1189333420
1249888a80
132993346c
1418c70208
15101ed72c
hexa463400

172372992 has 88 divisors (see below), whose sum is σ = 501302112. Its totient is φ = 52224000.

The previous prime is 172372961. The next prime is 172372999. The reversal of 172372992 is 299273271.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172372999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31242 + ... + 36342.

Almost surely, 2172372992 is an apocalyptic number.

172372992 is a gapful number since it is divisible by the number (12) 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 172372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250651056).

172372992 is an abundant number, since it is smaller than the sum of its proper divisors (328929120).

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

172372992 is a wasteful number, since it uses less digits than its factorization.

172372992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5135 (or 5117 counting only the distinct ones).

The product of its digits is 95256, while the sum is 42.

The square root of 172372992 is about 13129.0895343127. The cubic root of 172372992 is about 556.5314863329.

The spelling of 172372992 in words is "one hundred seventy-two million, three hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2112 2816 3072 4224 5101 5632 8448 10202 11264 15303 16896 20404 30606 33792 40808 56111 61212 81616 112222 122424 163232 168333 224444 244848 326464 336666 448888 489696 652928 673332 897776 979392 1305856 1346664 1795552 1958784 2611712 2693328 3591104 3917568 5223424 5386656 7182208 7835136 10773312 14364416 15670272 21546624 28728832 43093248 57457664 86186496 172372992