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46404072 = 233211134507
BaseRepresentation
bin1011000100000…
…1000111101000
310020022120102100
42301001013220
543334412242
64334333400
71102266561
oct261010750
9106276370
1046404072
1124215080
121365a260
1397c9740
14623d168
15411954c
hex2c411e8

46404072 has 96 divisors (see below), whose sum is σ = 147682080. Its totient is φ = 12977280.

The previous prime is 46404011. The next prime is 46404077. The reversal of 46404072 is 27040464.

It is a hoax number, since the sum of its digits (27) 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 (46404077) 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, 8043 + ... + 12549.

It is an arithmetic number, because the mean of its divisors is an integer number (1538355).

Almost surely, 246404072 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 46404072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73841040).

46404072 is an abundant number, since it is smaller than the sum of its proper divisors (101278008).

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

46404072 is a wasteful number, since it uses less digits than its factorization.

46404072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 46404072 is about 6812.0534349049. The cubic root of 46404072 is about 359.3508672591.

The spelling of 46404072 in words is "forty-six million, four hundred four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 4507 5148 9014 10296 13521 18028 27042 36056 40563 49577 54084 58591 81126 99154 108168 117182 148731 162252 175773 198308 234364 297462 324504 351546 396616 446193 468728 527319 594924 644501 703092 892386 1054638 1189848 1289002 1406184 1784772 1933503 2109276 2578004 3569544 3867006 4218552 5156008 5800509 7734012 11601018 15468024 23202036 46404072