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40794816 = 2631791187
BaseRepresentation
bin1001101110011…
…1101011000000
32211202120222010
42123213223000
540420413231
64014212520
71003515216
oct233475300
984676863
1040794816
1121033827
12117b4140
1385b455a
1455bccb6
1538ac546
hex26e7ac0

40794816 has 56 divisors (see below), whose sum is σ = 108630720. Its totient is φ = 13510912.

The previous prime is 40794811. The next prime is 40794833. The reversal of 40794816 is 61849704.

It is a happy number.

40794816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40794811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33775 + ... + 34961.

Almost surely, 240794816 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 40794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54315360).

40794816 is an abundant number, since it is smaller than the sum of its proper divisors (67835904).

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

40794816 is a wasteful number, since it uses less digits than its factorization.

40794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 40794816 is about 6387.0819628372. The cubic root of 40794816 is about 344.2455430989.

The spelling of 40794816 in words is "forty million, seven hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 179 192 358 537 716 1074 1187 1432 2148 2374 2864 3561 4296 4748 5728 7122 8592 9496 11456 14244 17184 18992 28488 34368 37984 56976 75968 113952 212473 227904 424946 637419 849892 1274838 1699784 2549676 3399568 5099352 6799136 10198704 13598272 20397408 40794816