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1155381408 = 2535314793
BaseRepresentation
bin100010011011101…
…1011100010100000
32222112001110100000
41010313123202200
54331234201113
6310351500000
740426402626
oct10467334240
92875043300
101155381408
11543201175
12282b27600
131554a164c
14ad637516
156b675373
hex44ddb8a0

1155381408 has 144 divisors (see below), whose sum is σ = 3517952256. Its totient is φ = 372625920.

The previous prime is 1155381407. The next prime is 1155381457. The reversal of 1155381408 is 8041835511.

1155381408 is a `hidden beast` number, since 115 + 538 + 1 + 4 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1155381407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238660 + ... + 243452.

It is an arithmetic number, because the mean of its divisors is an integer number (24430224).

Almost surely, 21155381408 is an apocalyptic number.

1155381408 is a gapful number since it is divisible by the number (18) 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 1155381408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758976128).

1155381408 is an abundant number, since it is smaller than the sum of its proper divisors (2362570848).

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

1155381408 is an equidigital number, since it uses as much as digits as its factorization.

1155381408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 1155381408 is about 33990.9018415222. The cubic root of 1155381408 is about 1049.3212266070.

The spelling of 1155381408 in words is "one billion, one hundred fifty-five million, three hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 243 248 279 288 324 372 432 486 496 558 648 744 837 864 972 992 1116 1296 1488 1674 1944 2232 2511 2592 2976 3348 3888 4464 4793 5022 6696 7533 7776 8928 9586 10044 13392 14379 15066 19172 20088 26784 28758 30132 38344 40176 43137 57516 60264 76688 80352 86274 115032 120528 129411 148583 153376 172548 230064 241056 258822 297166 345096 388233 445749 460128 517644 594332 690192 776466 891498 1035288 1164699 1188664 1337247 1380384 1552932 1782996 2070576 2329398 2377328 2674494 3105864 3565992 4011741 4141152 4658796 4754656 5348988 6211728 7131984 8023482 9317592 10697976 12035223 12423456 14263968 16046964 18635184 21395952 24070446 32093928 36105669 37270368 42791904 48140892 64187856 72211338 96281784 128375712 144422676 192563568 288845352 385127136 577690704 1155381408