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78948040 = 23519731423
BaseRepresentation
bin1001011010010…
…10011011001000
312111112222100111
410231022123020
5130202314130
611500044104
71646022133
oct455123310
9174488314
1078948040
1140622916
1222533634
1313482622
14a6b121a
156de702a
hex4b4a6c8

78948040 has 64 divisors (see below), whose sum is σ = 189676800. Its totient is φ = 29486592.

The previous prime is 78948013. The next prime is 78948053. The reversal of 78948040 is 4084987.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 78947984 and 78948002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54769 + ... + 56191.

It is an arithmetic number, because the mean of its divisors is an integer number (2963700).

Almost surely, 278948040 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 78948040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94838400).

78948040 is an abundant number, since it is smaller than the sum of its proper divisors (110728760).

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

78948040 is a wasteful number, since it uses less digits than its factorization.

78948040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 78948040 is about 8885.2709581644. The cubic root of 78948040 is about 428.9899494678.

The spelling of 78948040 in words is "seventy-eight million, nine hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 73 76 95 146 152 190 292 365 380 584 730 760 1387 1423 1460 2774 2846 2920 5548 5692 6935 7115 11096 11384 13870 14230 27037 27740 28460 54074 55480 56920 103879 108148 135185 207758 216296 270370 415516 519395 540740 831032 1038790 1081480 1973701 2077580 3947402 4155160 7894804 9868505 15789608 19737010 39474020 78948040