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390889379448 = 23341621372131
BaseRepresentation
bin1011011000000101101…
…00101001011001111000
31101100221202022220010000
411230002310221121320
522401020140120243
6455323323553000
740145413622031
oct5540264513170
91340852286100
10390889379448
11140858956327
126391008b760
132ab25c993c9
1414cc21d3a88
15a27bb6a5d3
hex5b02d29678

390889379448 has 80 divisors (see below), whose sum is σ = 1095530558760. Its totient is φ = 130215729600.

The previous prime is 390889379443. The next prime is 390889379471. The reversal of 390889379448 is 844973988093.

390889379448 is a `hidden beast` number, since 3 + 90 + 8 + 8 + 93 + 7 + 9 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390889379443) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 864343 + ... + 1236473.

Almost surely, 2390889379448 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 390889379448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547765279380).

390889379448 is an abundant number, since it is smaller than the sum of its proper divisors (704641179312).

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

390889379448 is a wasteful number, since it uses less digits than its factorization.

390889379448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373770 (or 373757 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 390889379448 in words is "three hundred ninety billion, eight hundred eighty-nine million, three hundred seventy-nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1621 3242 4863 6484 9726 12968 14589 19452 29178 38904 43767 58356 87534 116712 131301 175068 262602 350136 372131 525204 744262 1050408 1116393 1488524 2232786 2977048 3349179 4465572 6698358 8931144 10047537 13396716 20095074 26793432 30142611 40190148 60285222 80380296 120570444 241140888 603224351 1206448702 1809673053 2412897404 3619346106 4825794808 5429019159 7238692212 10858038318 14477384424 16287057477 21716076636 32574114954 43432153272 48861172431 65148229908 97722344862 130296459816 195444689724 390889379448