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46872252 = 22327238087
BaseRepresentation
bin1011001011001…
…1011010111100
310021012100122100
42302303122330
543444403002
64352345100
71106256540
oct262633274
9107170570
1046872252
11245048a9
1213845190
13993187b
146321a20
1541ad11c
hex2cb36bc

46872252 has 72 divisors (see below), whose sum is σ = 141313536. Its totient is φ = 12808224.

The previous prime is 46872239. The next prime is 46872253. The reversal of 46872252 is 25227864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46872253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1753 + ... + 9839.

It is an arithmetic number, because the mean of its divisors is an integer number (1962688).

Almost surely, 246872252 is an apocalyptic number.

46872252 is a gapful number since it is divisible by the number (42) 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 46872252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70656768).

46872252 is an abundant number, since it is smaller than the sum of its proper divisors (94441284).

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

46872252 is a wasteful number, since it uses less digits than its factorization.

46872252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8127 (or 8122 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 46872252 is about 6846.3312803282. The cubic root of 46872252 is about 360.5553465693. Note that the first 3 decimals are identical.

The spelling of 46872252 in words is "forty-six million, eight hundred seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 8087 16174 24261 32348 48522 56609 72783 97044 113218 145566 169827 186001 226436 291132 339654 372002 509481 558003 679308 744004 1018962 1116006 1302007 1674009 2037924 2232012 2604014 3348018 3906021 5208028 6696036 7812042 11718063 15624084 23436126 46872252