[go: up one dir, main page]

Search a number
-
+
46922928 = 24313292593
BaseRepresentation
bin1011001011111…
…1110010110000
310021021221011020
42302333302300
544003013203
64353415440
71106560353
oct262776260
9107257136
1046922928
1124539988
121386a580
13994b960
14633629a
1541bd153
hex2cbfcb0

46922928 has 80 divisors (see below), whose sum is σ = 135095520. Its totient is φ = 13934592.

The previous prime is 46922927. The next prime is 46922929. The reversal of 46922928 is 82922964.

It is an interprime number because it is at equal distance from previous prime (46922927) and next prime (46922929).

It is a super-2 number, since 2×469229282 = 4403522344186368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46922928.

It is not an unprimeable number, because it can be changed into a prime (46922927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16800 + ... + 19392.

It is an arithmetic number, because the mean of its divisors is an integer number (1688694).

Almost surely, 246922928 is an apocalyptic number.

46922928 is a gapful number since it is divisible by the number (48) 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 46922928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67547760).

46922928 is an abundant number, since it is smaller than the sum of its proper divisors (88172592).

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

46922928 is a wasteful number, since it uses less digits than its factorization.

46922928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2640 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 46922928 is about 6850.0312408047. The cubic root of 46922928 is about 360.6852380734.

The spelling of 46922928 in words is "forty-six million, nine hundred twenty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 1131 1392 1508 2262 2593 3016 4524 5186 6032 7779 9048 10372 15558 18096 20744 31116 33709 41488 62232 67418 75197 101127 124464 134836 150394 202254 225591 269672 300788 404508 451182 539344 601576 809016 902364 977561 1203152 1618032 1804728 1955122 2932683 3609456 3910244 5865366 7820488 11730732 15640976 23461464 46922928