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398011488 = 25371394261
BaseRepresentation
bin10111101110010…
…010110001100000
31000201221002010020
4113232102301200
51303342331423
6103254433440
712602020230
oct2756226140
91021832106
10398011488
11194737a16
12b1362880
13645c6474
143ac07cc0
1524e1e4e3
hex17b92c60

398011488 has 96 divisors (see below), whose sum is σ = 1202906880. Its totient is φ = 112872960.

The previous prime is 398011469. The next prime is 398011489. The reversal of 398011488 is 884110893.

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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398011489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91278 + ... + 95538.

It is an arithmetic number, because the mean of its divisors is an integer number (12530280).

Almost surely, 2398011488 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 398011488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601453440).

398011488 is an abundant number, since it is smaller than the sum of its proper divisors (804895392).

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

398011488 is a wasteful number, since it uses less digits than its factorization.

398011488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 398011488 is about 19950.2252618861. The cubic root of 398011488 is about 735.5833140750.

The spelling of 398011488 in words is "three hundred ninety-eight million, eleven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 139 168 224 278 336 417 556 672 834 973 1112 1668 1946 2224 2919 3336 3892 4261 4448 5838 6672 7784 8522 11676 12783 13344 15568 17044 23352 25566 29827 31136 34088 46704 51132 59654 68176 89481 93408 102264 119308 136352 178962 204528 238616 357924 409056 477232 592279 715848 954464 1184558 1431696 1776837 2369116 2863392 3553674 4145953 4738232 7107348 8291906 9476464 12437859 14214696 16583812 18952928 24875718 28429392 33167624 49751436 56858784 66335248 99502872 132670496 199005744 398011488