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472154112 = 215321601
BaseRepresentation
bin11100001001001…
…000000000000000
31012220102220200100
4130021020000000
51431332412422
6114503522400
714462146413
oct3411100000
91186386610
10472154112
11222578411
12112159400
1376a85741
14469c7b7a
152b6b77ac
hex1c248000

472154112 has 96 divisors (see below), whose sum is σ = 1364831910. Its totient is φ = 157286400.

The previous prime is 472154083. The next prime is 472154119. The reversal of 472154112 is 211451274.

It can be written as a sum of positive squares in only one way, i.e., 247873536 + 224280576 = 15744^2 + 14976^2 .

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

It is not an unprimeable number, because it can be changed into a prime (472154119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294112 + ... + 295712.

Almost surely, 2472154112 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 472154112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682415955).

472154112 is an abundant number, since it is smaller than the sum of its proper divisors (892677798).

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

472154112 is an equidigital number, since it uses as much as digits as its factorization.

472154112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1606 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 472154112 is about 21729.1074828213. The cubic root of 472154112 is about 778.6840137083.

The spelling of 472154112 in words is "four hundred seventy-two million, one hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1601 2048 2304 3072 3202 4096 4608 4803 6144 6404 8192 9216 9606 12288 12808 14409 16384 18432 19212 24576 25616 28818 32768 36864 38424 49152 51232 57636 73728 76848 98304 102464 115272 147456 153696 204928 230544 294912 307392 409856 461088 614784 819712 922176 1229568 1639424 1844352 2459136 3278848 3688704 4918272 6557696 7377408 9836544 13115392 14754816 19673088 26230784 29509632 39346176 52461568 59019264 78692352 118038528 157384704 236077056 472154112