Search a number
-
+
91474056 = 23331931719
BaseRepresentation
bin1010111001111…
…00100010001000
320101010100211000
411130330202020
5141404132211
613024335000
72160342132
oct534744210
9211110730
1091474056
11476a88a3
1226774460
1315c49b7b
14c212052
15806d656
hex573c888

91474056 has 128 divisors (see below), whose sum is σ = 276480000. Its totient is φ = 27915840.

The previous prime is 91474049. The next prime is 91474063. The reversal of 91474056 is 65047419.

It is an interprime number because it is at equal distance from previous prime (91474049) and next prime (91474063).

It is a super-2 number, since 2×914740562 = 16735005842182272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 91474056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126865 + ... + 127583.

It is an arithmetic number, because the mean of its divisors is an integer number (2160000).

Almost surely, 291474056 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 91474056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138240000).

91474056 is an abundant number, since it is smaller than the sum of its proper divisors (185005944).

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

91474056 is a wasteful number, since it uses less digits than its factorization.

91474056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 91474056 is about 9564.2070241082. The cubic root of 91474056 is about 450.5738456914.

It can be divided in two parts, 9147 and 4056, that added together give a triangular number (13203 = T162).

The spelling of 91474056 in words is "ninety-one million, four hundred seventy-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 108 114 124 152 171 186 216 228 248 279 342 372 456 513 558 589 684 719 744 837 1026 1116 1178 1368 1438 1674 1767 2052 2157 2232 2356 2876 3348 3534 4104 4314 4712 5301 5752 6471 6696 7068 8628 10602 12942 13661 14136 15903 17256 19413 21204 22289 25884 27322 31806 38826 40983 42408 44578 51768 54644 63612 66867 77652 81966 89156 109288 122949 127224 133734 155304 163932 178312 200601 245898 267468 327864 368847 401202 423491 491796 534936 601803 737694 802404 846982 983592 1203606 1270473 1475388 1604808 1693964 2407212 2540946 2950776 3387928 3811419 4814424 5081892 7622838 10163784 11434257 15245676 22868514 30491352 45737028 91474056