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1418063952 = 243971512017
BaseRepresentation
bin101010010000101…
…1111000001010000
310122211100010001010
41110201133001100
510401011021302
6352414010520
750066226144
oct12441370120
93584303033
101418063952
11668507488
12336aa6a40
13197a348c6
14d6495224
158476216c
hex5485f050

1418063952 has 80 divisors (see below), whose sum is σ = 3727455872. Its totient is φ = 464486400.

The previous prime is 1418063923. The next prime is 1418063963. The reversal of 1418063952 is 2593608141.

It is a self number, because there is not a number n which added to its sum of digits gives 1418063952.

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, 702048 + ... + 704064.

Almost surely, 21418063952 is an apocalyptic number.

1418063952 is a gapful number since it is divisible by the number (12) 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 1418063952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863727936).

1418063952 is an abundant number, since it is smaller than the sum of its proper divisors (2309391920).

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

1418063952 is a wasteful number, since it uses less digits than its factorization.

1418063952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1418063952 is about 37657.1899110913. The cubic root of 1418063952 is about 1123.4798106258.

The spelling of 1418063952 in words is "one billion, four hundred eighteen million, sixty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 151 194 291 302 388 453 582 604 776 906 1164 1208 1552 1812 2017 2328 2416 3624 4034 4656 6051 7248 8068 12102 14647 16136 24204 29294 32272 43941 48408 58588 87882 96816 117176 175764 195649 234352 304567 351528 391298 586947 609134 703056 782596 913701 1173894 1218268 1565192 1827402 2347788 2436536 3130384 3654804 4695576 4873072 7309608 9391152 14619216 29542999 59085998 88628997 118171996 177257994 236343992 354515988 472687984 709031976 1418063952