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1387438752 = 25372389767
BaseRepresentation
bin101001010110010…
…1010001010100000
310120200201012011110
41102230222022200
510320141020002
6345401343320
746245014640
oct12254521240
93520635143
101387438752
1165219a2a7
12328797b40
131915a119b
14d23a2520
1581c12e6c
hex52b2a2a0

1387438752 has 96 divisors (see below), whose sum is σ = 4343334912. Its totient is φ = 379171584.

The previous prime is 1387438751. The next prime is 1387438757. The reversal of 1387438752 is 2578347831.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (1387438751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29428 + ... + 60339.

It is an arithmetic number, because the mean of its divisors is an integer number (45243072).

Almost surely, 21387438752 is an apocalyptic number.

1387438752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1387438752 is an abundant number, since it is smaller than the sum of its proper divisors (2955896160).

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

1387438752 is a wasteful number, since it uses less digits than its factorization.

1387438752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89810 (or 89802 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 1387438752 is about 37248.3389159839. The cubic root of 1387438752 is about 1115.3331404818. Note that the first 3 decimals are identical.

The spelling of 1387438752 in words is "one billion, three hundred eighty-seven million, four hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 89767 179534 269301 359068 538602 628369 718136 1077204 1256738 1436272 1885107 2064641 2154408 2513476 2872544 3770214 4129282 4308816 5026952 6193923 7540428 8258564 8617632 10053904 12387846 14452487 15080856 16517128 20107808 24775692 28904974 30161712 33034256 43357461 49551384 57809948 60323424 66068512 86714922 99102768 115619896 173429844 198205536 231239792 346859688 462479584 693719376 1387438752