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2092738464 = 253314531667
BaseRepresentation
bin111110010111100…
…1010011110100000
312101211212010111000
41330233022132200
513241220112324
6543354352000
7102600661215
oct17457123640
95354763430
102092738464
11984329423
124a4a2b600
132747478ab
1415bd19b0c
15c3ad09c9
hex7cbca7a0

2092738464 has 96 divisors (see below), whose sum is σ = 6111685440. Its totient is φ = 696681216.

The previous prime is 2092738433. The next prime is 2092738469. The reversal of 2092738464 is 4648372902.

2092738464 is a `hidden beast` number, since 209 + 2 + 7 + 384 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2092738469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1254559 + ... + 1256225.

It is an arithmetic number, because the mean of its divisors is an integer number (63663390).

Almost surely, 22092738464 is an apocalyptic number.

2092738464 is a gapful number since it is divisible by the number (24) 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 2092738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055842720).

2092738464 is an abundant number, since it is smaller than the sum of its proper divisors (4018946976).

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

2092738464 is a wasteful number, since it uses less digits than its factorization.

2092738464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2092738464 is about 45746.4584858763. The cubic root of 2092738464 is about 1279.1014331510.

The spelling of 2092738464 in words is "two billion, ninety-two million, seven hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1453 1667 2906 3334 4359 5001 5812 6668 8718 10002 11624 13077 13336 15003 17436 20004 23248 26154 26672 30006 34872 39231 40008 45009 46496 52308 53344 60012 69744 78462 80016 90018 104616 120024 139488 156924 160032 180036 209232 240048 313848 360072 418464 480096 627696 720144 1255392 1440288 2422151 4844302 7266453 9688604 14532906 19377208 21799359 29065812 38754416 43598718 58131624 65398077 77508832 87197436 116263248 130796154 174394872 232526496 261592308 348789744 523184616 697579488 1046369232 2092738464