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1989894624 = 253192937619
BaseRepresentation
bin111011010011011…
…0110000111100000
312010200100010020220
41312212312013200
513033403111444
6525242203040
7100211553024
oct16646660740
95120303226
101989894624
11931275313
124764b3480
13259349853
1414c3c8384
15b9a68619
hex769b61e0

1989894624 has 96 divisors (see below), whose sum is σ = 5688144000. Its totient is φ = 606703104.

The previous prime is 1989894623. The next prime is 1989894629. The reversal of 1989894624 is 4264989891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×19898946242 = 7919361229248202752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1989894623) 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, 34087 + ... + 71705.

It is an arithmetic number, because the mean of its divisors is an integer number (59251500).

Almost surely, 21989894624 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 1989894624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844072000).

1989894624 is an abundant number, since it is smaller than the sum of its proper divisors (3698249376).

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

1989894624 is a wasteful number, since it uses less digits than its factorization.

1989894624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37680 (or 37672 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 60.

The square root of 1989894624 is about 44608.2349348189. The cubic root of 1989894624 is about 1257.7954699110.

The spelling of 1989894624 in words is "one billion, nine hundred eighty-nine million, eight hundred ninety-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 114 116 152 174 228 232 304 348 456 464 551 608 696 912 928 1102 1392 1653 1824 2204 2784 3306 4408 6612 8816 13224 17632 26448 37619 52896 75238 112857 150476 225714 300952 451428 601904 714761 902856 1090951 1203808 1429522 1805712 2144283 2181902 2859044 3272853 3611424 4288566 4363804 5718088 6545706 8577132 8727608 11436176 13091412 17154264 17455216 20728069 22872352 26182824 34308528 34910432 41456138 52365648 62184207 68617056 82912276 104731296 124368414 165824552 248736828 331649104 497473656 663298208 994947312 1989894624