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46420040 = 23519103593
BaseRepresentation
bin1011000100010…
…1000001001000
310020100101022202
42301011001020
543340420130
64334535332
71102364252
oct261050110
9106311282
1046420040
1124226077
1213667548
139803aa4
146244cd2
15411e145
hex2c45048

46420040 has 64 divisors (see below), whose sum is σ = 111196800. Its totient is φ = 17390592.

The previous prime is 46420027. The next prime is 46420057. The reversal of 46420040 is 4002464.

It is a super-2 number, since 2×464200402 = 4309640227203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 46419994 and 46420021.

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, 77984 + ... + 78576.

It is an arithmetic number, because the mean of its divisors is an integer number (1737450).

Almost surely, 246420040 is an apocalyptic number.

46420040 is a gapful number since it is divisible by the number (40) 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 46420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55598400).

46420040 is an abundant number, since it is smaller than the sum of its proper divisors (64776760).

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

46420040 is a wasteful number, since it uses less digits than its factorization.

46420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 46420040 is about 6813.2253742262. The cubic root of 46420040 is about 359.3920810029.

The spelling of 46420040 in words is "forty-six million, four hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 103 152 190 206 380 412 515 593 760 824 1030 1186 1957 2060 2372 2965 3914 4120 4744 5930 7828 9785 11267 11860 15656 19570 22534 23720 39140 45068 56335 61079 78280 90136 112670 122158 225340 244316 305395 450680 488632 610790 1160501 1221580 2321002 2443160 4642004 5802505 9284008 11605010 23210020 46420040