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481492992 = 21633179
BaseRepresentation
bin11100101100110…
…000000000000000
31020120000101012210
4130230300000000
51441230233432
6115440022120
714634423441
oct3454600000
91216011183
10481492992
112278768a2
12115301940
13789a53c6
1447d392c8
152c40e8cc
hex1cb30000

481492992 has 136 divisors (see below), whose sum is σ = 1342167040. Its totient is φ = 153354240.

The previous prime is 481492981. The next prime is 481493011. The reversal of 481492992 is 299294184.

It is a super-2 number, since 2×4814929922 = 463671002690224128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6094809 + ... + 6094887.

Almost surely, 2481492992 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 481492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671083520).

481492992 is an abundant number, since it is smaller than the sum of its proper divisors (860674048).

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

481492992 is an frugal number, since it uses more digits than its factorization.

481492992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 115 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 481492992 is about 21942.9485712381. The cubic root of 481492992 is about 783.7844749785.

The spelling of 481492992 in words is "four hundred eighty-one million, four hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 79 93 96 124 128 158 186 192 237 248 256 316 372 384 474 496 512 632 744 768 948 992 1024 1264 1488 1536 1896 1984 2048 2449 2528 2976 3072 3792 3968 4096 4898 5056 5952 6144 7347 7584 7936 8192 9796 10112 11904 12288 14694 15168 15872 16384 19592 20224 23808 24576 29388 30336 31744 32768 39184 40448 47616 49152 58776 60672 63488 65536 78368 80896 95232 98304 117552 121344 126976 156736 161792 190464 196608 235104 242688 253952 313472 323584 380928 470208 485376 507904 626944 647168 761856 940416 970752 1015808 1253888 1294336 1523712 1880832 1941504 2031616 2507776 2588672 3047424 3761664 3883008 5015552 5177344 6094848 7523328 7766016 10031104 15046656 15532032 20062208 30093312 40124416 60186624 80248832 120373248 160497664 240746496 481492992