Search a number
-
+
40701504 = 263593593
BaseRepresentation
bin1001101101000…
…0111001000000
32211120211222010
42123100321000
540404422004
64012212520
71002646164
oct233207100
984524863
1040701504
1120a7a708
121176a140
138580c3c
145596ca4
15388ea89
hex26d0e40

40701504 has 56 divisors (see below), whose sum is σ = 109545120. Its totient is φ = 13333504.

The previous prime is 40701487. The next prime is 40701533. The reversal of 40701504 is 40510704.

It is a super-2 number, since 2×407015042 = 3313224855724032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9532 + ... + 13124.

Almost surely, 240701504 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 40701504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54772560).

40701504 is an abundant number, since it is smaller than the sum of its proper divisors (68843616).

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

40701504 is a wasteful number, since it uses less digits than its factorization.

40701504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 40701504 is about 6379.7730367153. The cubic root of 40701504 is about 343.9828727727.

The spelling of 40701504 in words is "forty million, seven hundred one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 177 192 236 354 472 708 944 1416 1888 2832 3593 3776 5664 7186 10779 11328 14372 21558 28744 43116 57488 86232 114976 172464 211987 229952 344928 423974 635961 689856 847948 1271922 1695896 2543844 3391792 5087688 6783584 10175376 13567168 20350752 40701504