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474137840 = 245111035231
BaseRepresentation
bin11100010000101…
…100010011110000
31020001011200211202
4130100230103300
51432334402330
6115014230332
714515051031
oct3420542360
91201150752
10474137840
11223702860
121129553a8
13772cb647
1446d82a88
152b95a445
hex1c42c4f0

474137840 has 80 divisors (see below), whose sum is σ = 1214493696. Its totient is φ = 170707200.

The previous prime is 474137819. The next prime is 474137879. The reversal of 474137840 is 48731474.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 474137794 and 474137803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88025 + ... + 93255.

Almost surely, 2474137840 is an apocalyptic number.

474137840 is a gapful number since it is divisible by the number (40) 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 474137840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607246848).

474137840 is an abundant number, since it is smaller than the sum of its proper divisors (740355856).

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

474137840 is a wasteful number, since it uses less digits than its factorization.

474137840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 474137840 is about 21774.7064274125. The cubic root of 474137840 is about 779.7730218371.

The spelling of 474137840 in words is "four hundred seventy-four million, one hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 103 110 176 206 220 412 440 515 824 880 1030 1133 1648 2060 2266 4120 4532 5231 5665 8240 9064 10462 11330 18128 20924 22660 26155 41848 45320 52310 57541 83696 90640 104620 115082 209240 230164 287705 418480 460328 538793 575410 920656 1077586 1150820 2155172 2301640 2693965 4310344 4603280 5387930 5926723 8620688 10775860 11853446 21551720 23706892 29633615 43103440 47413784 59267230 94827568 118534460 237068920 474137840