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472111488 = 27321724107
BaseRepresentation
bin11100001000111…
…101100110000000
31012220100202012200
4130020331212000
51431330031423
6114502553200
714461611222
oct3410754600
91186322180
10472111488
11222549392
12112138800
1376a6c214
14469b6412
152b6a9d43
hex1c23d980

472111488 has 96 divisors (see below), whose sum is σ = 1438524360. Its totient is φ = 148107264.

The previous prime is 472111469. The next prime is 472111489. The reversal of 472111488 is 884111274.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472111489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7531 + ... + 31637.

Almost surely, 2472111488 is an apocalyptic number.

472111488 is a gapful number since it is divisible by the number (48) 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 472111488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719262180).

472111488 is an abundant number, since it is smaller than the sum of its proper divisors (966412872).

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

472111488 is a wasteful number, since it uses less digits than its factorization.

472111488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24144 (or 24129 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 472111488 is about 21728.1266564792. The cubic root of 472111488 is about 778.6605809453.

The spelling of 472111488 in words is "four hundred seventy-two million, one hundred eleven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 24107 48214 72321 96428 144642 192856 216963 289284 385712 409819 433926 578568 771424 819638 867852 1157136 1229457 1542848 1639276 1735704 2314272 2458914 3085696 3278552 3471408 3688371 4628544 4917828 6557104 6942816 7376742 9257088 9835656 13114208 13885632 14753484 19671312 26228416 27771264 29506968 39342624 52456832 59013936 78685248 118027872 157370496 236055744 472111488