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46274004 = 223672267
BaseRepresentation
bin1011000010000…
…1010111010100
310020001222000000
42300201113110
543321232004
64331451300
71101215430
oct260412724
9106058000
1046274004
1124136387
12135b6b30
13978248a
1462079c0
1540e0c39
hex2c215d4

46274004 has 84 divisors (see below), whose sum is σ = 138819744. Its totient is φ = 13215312.

The previous prime is 46274003. The next prime is 46274009. The reversal of 46274004 is 40047264.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46274003) 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 27 ways as a sum of consecutive naturals, for example, 19279 + ... + 21545.

It is an arithmetic number, because the mean of its divisors is an integer number (1652616).

Almost surely, 246274004 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 46274004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69409872).

46274004 is an abundant number, since it is smaller than the sum of its proper divisors (92545740).

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

46274004 is a wasteful number, since it uses less digits than its factorization.

46274004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2279 counting only the distinct ones).

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

The square root of 46274004 is about 6802.4998346196. The cubic root of 46274004 is about 359.0148063301.

The spelling of 46274004 in words is "forty-six million, two hundred seventy-four thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2267 2268 2916 3402 4534 5103 6801 6804 9068 10206 13602 15869 20403 20412 27204 31738 40806 47607 61209 63476 81612 95214 122418 142821 183627 190428 244836 285642 367254 428463 550881 571284 734508 856926 1101762 1285389 1652643 1713852 2203524 2570778 3305286 3856167 5141556 6610572 7712334 11568501 15424668 23137002 46274004