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46078464 = 293131229
BaseRepresentation
bin1010111111000…
…1101000000000
310012201000202210
42233301220000
543244002324
64323342120
71066442355
oct257615000
9105630683
1046078464
1124012483
1213521940
139714483
14619662c
1540a2d29
hex2bf1a00

46078464 has 80 divisors (see below), whose sum is σ = 124233120. Its totient is φ = 15175680.

The previous prime is 46078463. The next prime is 46078511. The reversal of 46078464 is 46487064.

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

It is not an unprimeable number, because it can be changed into a prime (46078463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201102 + ... + 201330.

It is an arithmetic number, because the mean of its divisors is an integer number (1552914).

Almost surely, 246078464 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 46078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62116560).

46078464 is an abundant number, since it is smaller than the sum of its proper divisors (78154656).

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

46078464 is a wasteful number, since it uses less digits than its factorization.

46078464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 46078464 is about 6788.1119613630. Note that the first 3 decimals coincide. The cubic root of 46078464 is about 358.5083962094.

The spelling of 46078464 in words is "forty-six million, seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 229 256 262 384 393 458 512 524 687 768 786 916 1048 1374 1536 1572 1832 2096 2748 3144 3664 4192 5496 6288 7328 8384 10992 12576 14656 16768 21984 25152 29312 29999 33536 43968 50304 58624 59998 67072 87936 89997 100608 117248 119996 175872 179994 201216 239992 351744 359988 479984 719976 959968 1439952 1919936 2879904 3839872 5759808 7679744 11519616 15359488 23039232 46078464