Search a number
-
+
1078493376 = 26339714149
BaseRepresentation
bin100000001001000…
…1000000011000000
32210011101010210010
41000102020003000
54202043242001
6255003504520
735504020362
oct10022100300
92704333703
101078493376
11503866044
12261228140
1314259087c
14a3340d32
1564a388d6
hex404880c0

1078493376 has 56 divisors (see below), whose sum is σ = 2860903600. Its totient is φ = 358566912.

The previous prime is 1078493341. The next prime is 1078493399. The reversal of 1078493376 is 6733948701.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 69150 + ... + 83298.

Almost surely, 21078493376 is an apocalyptic number.

1078493376 is a gapful number since it is divisible by the number (16) 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 1078493376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430451800).

1078493376 is an abundant number, since it is smaller than the sum of its proper divisors (1782410224).

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

1078493376 is a wasteful number, since it uses less digits than its factorization.

1078493376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14561 (or 14551 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 1078493376 is about 32840.4228961809. The cubic root of 1078493376 is about 1025.5082550941.

The spelling of 1078493376 in words is "one billion, seventy-eight million, four hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 397 794 1191 1588 2382 3176 4764 6352 9528 12704 14149 19056 25408 28298 38112 42447 56596 76224 84894 113192 169788 226384 339576 452768 679152 905536 1358304 2716608 5617153 11234306 16851459 22468612 33702918 44937224 67405836 89874448 134811672 179748896 269623344 359497792 539246688 1078493376