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474098976 = 253213139911
BaseRepresentation
bin11100010000100…
…010110100100000
31020001002201112100
4130100202310200
51432332131401
6115013330400
714514526521
oct3420426440
91201081470
10474098976
1122368663a
12112936a00
13772b6a50
1446d72848
152b94db86
hex1c422d20

474098976 has 144 divisors (see below), whose sum is σ = 1463978880. Its totient is φ = 144668160.

The previous prime is 474098971. The next prime is 474098981. The reversal of 474098976 is 679890474.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (474098971) and next prime (474098981).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (474098971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519961 + ... + 520871.

It is an arithmetic number, because the mean of its divisors is an integer number (10166520).

Almost surely, 2474098976 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 474098976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731989440).

474098976 is an abundant number, since it is smaller than the sum of its proper divisors (989879904).

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

474098976 is a wasteful number, since it uses less digits than its factorization.

474098976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 474098976 is about 21773.8139975522. The cubic root of 474098976 is about 779.7517158481.

The spelling of 474098976 in words is "four hundred seventy-four million, ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 139 144 156 208 234 278 288 312 416 417 468 556 624 834 911 936 1112 1248 1251 1668 1807 1822 1872 2224 2502 2733 3336 3614 3644 3744 4448 5004 5421 5466 6672 7228 7288 8199 10008 10842 10932 11843 13344 14456 14576 16263 16398 20016 21684 21864 23686 28912 29152 32526 32796 35529 40032 43368 43728 47372 57824 65052 65592 71058 86736 87456 94744 106587 126629 130104 131184 142116 173472 189488 213174 253258 260208 262368 284232 378976 379887 426348 506516 520416 568464 759774 852696 1013032 1136928 1139661 1519548 1646177 1705392 2026064 2279322 3039096 3292354 3410784 4052128 4558644 4938531 6078192 6584708 9117288 9877062 12156384 13169416 14815593 18234576 19754124 26338832 29631186 36469152 39508248 52677664 59262372 79016496 118524744 158032992 237049488 474098976